Total forces acting downward on the plane

In summary: Very frustrating.No, see Doc Al response above for clarification. If the block is moving, the friction force is just \mu_k(mgcos\theta) . You have to charitably reinterpret the problem. Very frustrating.In summary, the conversation discusses finding the total force acting downwards on a plane and whether or not to consider the tension in point B and how to calculate the tension on the rope. However, there is confusion about the problem statement as it implies that the block is in equilibrium but also provides a value for kinetic friction, which is contradictory. It is suggested to reinterpret the problem to find a solution.
  • #1
goldfish9776
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1
Member warned about proper use of the template and showing an attempt at solution.

Homework Statement


the total force acting downwards the plane = 100(9.81)sin20 + 150= 485.5 N , should I take the tension in B into consideration ? how to get the tension on the rope ?

Homework Equations

The Attempt at a Solution

 

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  • #2
goldfish9776 said:

Homework Statement


the total force acting downwards the plane = 100(9.81)sin20 + 150= 485.5 N , should I take the tension in B into consideration ?

Do you feel that the tension has no effect on the block?

how to get the tension on the rope ?

The block is in equilibrium as shown. How does the block stay in equilibrium?
 
  • #3
goldfish9776 said:
should I take the tension in B into consideration ?
It's a force acting on the block, so you'd better.

goldfish9776 said:
how to get the tension on the rope ?
You are told that point B is in equilibrium.
 
  • #4
goldfish9776 said:

Homework Statement


the total force acting downwards the plane = 100(9.81)sin20 + 150= 485.5 N , should I take the tension in B into consideration ?
tension and friction
how to get the tension on the rope ?.
try a free body diagram of joint B. Please show your work. Is the block in equilibrium?

Homework Equations

The Attempt at a Solution

[/QUOTE]
 
  • #5
PhanthomJay said:
tension and frictiontry a free body diagram of joint B. Please show your work. Is the block in equilibrium?

Homework Equations

The Attempt at a Solution

[/QUOTE]

so , the ttotal forces downwards should be
100(9.81)sin20 +150+196.2 = 681.7N ?
 

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  • #6
goldfish9776 said:
so , the ttotal forces downwards should be
100(9.81)sin20 +150+196.2 = 681.7N ?
No. But there seems to be a problem in the problem statement, because it states that joint B is in equilibrium which implies that the block must be in equilibrium also. But the solution gives a kinetic (moving) friction value, so something went wrong here, the joint cannot be in equilibrium with the given values.
 
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  • #7
PhanthomJay said:
No. But there seems to be a problem in the problem statement, because it states that joint B is in equilibrium which implies that the block must be in equilibrium also. But the solution gives a kinetic (moving) friction value, so something went wrong here, the joint cannot be in equilibrium with the given values.
so , the correct one should be 100(9.81)sin20 +150 only ?
 
  • #8
goldfish9776 said:
so , the correct one should be 100(9.81)sin20 +150 only ?
No, a free body diagram of the block will show that in addition to the two down-the-plane forces you have identified, there is a tension force acting up the plane and possibly a friction force acting parallel to the plane. Now the problem states that the joint B is in equilibrium (not accelerating) and thus the block also must not be accelerating. But when you draw a free body diagram of the joint at B to determine the tension force, and apply that force to the block, there is not enough available static friction force down the plane to keep the block from moving, which is in contradiction with the problem statement. As I see it, the problem is not correctly worded.
 
  • #9
PhanthomJay said:
As I see it, the problem is not correctly worded.
I agree. A very poorly worded problem. (It reads as if translated from another language.)

You can certainly get the given answer, but you have to disregard (or charitably reinterpret) some of the problem statement. You first assume equilibrium, then ask if that is possible. It's not--as PhanthomJay explains--so the friction must be kinetic.
 
  • #10
PhanthomJay said:
No, a free body diagram of the block will show that in addition to the two down-the-plane forces you have identified, there is a tension force acting up the plane and possibly a friction force acting parallel to the plane. Now the problem states that the joint B is in equilibrium (not accelerating) and thus the block also must not be accelerating. But when you draw a free body diagram of the joint at B to determine the tension force, and apply that force to the block, there is not enough available static friction force down the plane to keep the block from moving, which is in contradiction with the problem statement. As I see it, the problem is not correctly worded.
isn't it = 100(9.81)sin20 ?
 
  • #11
goldfish9776 said:
isn't it = 100(9.81)sin20 ?
No, see Doc Al response above for clarification. If the block is moving, the friction force is just [itex]\mu_k(mgcos\theta) [/itex]. You have to charitably reinterpret the problem.
 

FAQ: Total forces acting downward on the plane

What are total forces acting downward on the plane?

Total forces acting downward on the plane refer to the combined forces that are pushing or pulling the plane towards the ground. These forces include the weight of the plane, air resistance, and gravity.

How are total forces acting downward on the plane calculated?

Total forces acting downward on the plane can be calculated by adding all the individual forces acting on the plane in a downward direction. This includes the weight of the plane, which is determined by its mass and the acceleration due to gravity, as well as any other external forces acting on the plane.

What factors affect the total forces acting downward on the plane?

The total forces acting downward on the plane can be affected by various factors such as the weight and mass of the plane, air density, altitude, and velocity of the plane. These factors can change the magnitude and direction of the forces acting on the plane.

Why is it important to consider the total forces acting downward on the plane?

Considering the total forces acting downward on the plane is crucial for ensuring flight safety. If these forces are not properly balanced, it can affect the stability and control of the plane, potentially leading to accidents. It also helps in determining the performance and efficiency of the plane.

How can the total forces acting downward on the plane be controlled?

The total forces acting downward on the plane can be controlled by adjusting the plane's weight, angle of descent, and velocity. Properly maintaining and monitoring the plane's systems and aerodynamics can also help in controlling these forces. Pilots also play a crucial role in managing these forces through their flying techniques.

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